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112210201112004 = 223217409448288513
BaseRepresentation
bin11001100000110111111001…
…001011010110110111000100
3112201022012010211212111111200
4121200313321023112313010
5104201422442441041004
61034352353232102500
732430630250142142
oct3140677113266704
9481265124774450
10112210201112004
1132832096239656
1210703109394a30
134a7c4b83c8638
141d9d007626592
15ce8ca14eb239
hex660df92d6dc4

112210201112004 has 72 divisors (see below), whose sum is σ = 301061600232120. Its totient is φ = 35117128876032.

The previous prime is 112210201111951. The next prime is 112210201112017. The reversal of 112210201112004 is 400211102012211.

It can be written as a sum of positive squares in 4 ways, for example, as 90188298549504 + 22021902562500 = 9496752^2 + 4692750^2 .

It is a super-2 number, since 2×1122102011120042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223893949 + ... + 224394564.

It is an arithmetic number, because the mean of its divisors is an integer number (4181411114335).

Almost surely, 2112210201112004 is an apocalyptic number.

It is an amenable number.

112210201112004 is an abundant number, since it is smaller than the sum of its proper divisors (188851399120116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112210201112004 is a wasteful number, since it uses less digits than its factorization.

112210201112004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448288949 (or 448288944 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112210201112004 its reverse (400211102012211), we get a palindrome (512421303124215).

The spelling of 112210201112004 in words is "one hundred twelve trillion, two hundred ten billion, two hundred one million, one hundred twelve thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 409 612 818 1227 1636 2454 3681 4908 6953 7362 13906 14724 20859 27812 41718 62577 83436 125154 250308 448288513 896577026 1344865539 1793154052 2689731078 4034596617 5379462156 7620904721 8069193234 15241809442 16138386468 22862714163 30483618884 45725428326 68588142489 91450856652 137176284978 183350001817 274352569956 366700003634 550050005451 733400007268 1100100010902 1650150016353 2200200021804 3116950030889 3300300032706 6233900061778 6600600065412 9350850092667 12467800123556 18701700185334 28052550278001 37403400370668 56105100556002 112210201112004